Find the points on the curve a = t – 16t + 1, y = t² + 12t – 8 that have: %3D A. a horizontal tangent line B. a vertical tangent line

Q: b. Enclosed by the curves y² = 4x + 4 and the line y = 4x – 16.

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Q: Find the points on the curve t² 16t+ 6, y X = = A. a horizontal tangent line B. a vertical tangent…

A: Given the curve is x=t2-16t+6  and y=t2+4t+3

Q: What are the coordinates of the points in the graph of y? – x² + 6x – 13 = 0 in which the tangent…

A: y2-x2+6x-13=0 --------------(1) Differentiating with respect to x ddxy2-x2+6x-13=ddx(0)…

Q: 2.1 Identify and sketch the graph of y = /9 – 4x². Show all the necessary points on the curve and…

A: We can square the left-hand side and right-hand side then we get y2 = 9-4x2

Q: The parabola y = x2 + C is to be tangent to the line y = x. Find C.

A: To find the value of C.

Q: Determine the equation, in y= mx + b form, of the line that is perpendicular to the slope of the…

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Q: 2 Find the distance from the point B = [0 5 0 to the line 1 +t| 0 -3

A: Here we will find the distance between the given point and line,

Q: Find the gardientoff at the indicatedpoint. frx,y)=D5sin x+Cos3y ;

A: Given: f(x,y)=5sinx2+cos3yπ2,0

Q: Describe each of the following curves: r2 = 2

A: We know that, each point x,y in the Cartesian coordinate system can therefore be represented as an…

Q: Evaluate Pw.-(x+2y))- dr, where C is the curve shown below.

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Q: Find the length of the curve r = 02 from 0 = 0 to 0 = 14.

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Q: or the curve y = 4x²³ - 2x, find all the points at ngents pass through the origin.

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Q: B. Find the slope of the curve at the given point. Ax = 4u(2 – 3u)², y = 3u² – 4u + 4 u =

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Q: Trace the following curve:

A: Given curve: y=x4-6x2-7 Formulas used: ddxxn=nxn-1ddxconstant=0

Q: Find the slope, m, of the tangent to the curve y = 2√x    at the point where x=a

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Q: Given the curve :x = t³ – 3t, y = t3 – 3t2. Find the POINTS on the curve where the tangent is…

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Q: Find the value of c such that the line y = C = x + 3 is tangent to the curve y = c√x.

A: To find the value of  such that the line  is tangent to the curve .